A woman was hurt in the four-vehicle crash, which occurred on Friday afternoon, Los Angeles Police said.
Photos from the scene show a large SUV on top of three other vehicles at an intersection near his home in the upscale neighbourhood of Brentwood.
Police said that no arrest has been made and ruled out the involvement of drugs and alcohol.
The former California governor's spokesman confirmed to the Los Angeles Times that he was driving the SUV when the incident occurred, but was not hurt.
